M25002793 Mersenne number exponent details

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M25002793

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is 2 ^25002793 - 1

has 7526591 decimal digits

takes 21.426 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	2823B3DBA7185244	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷¹	19.1210	64.7887%	270000	3442500	0.5503	3.2148%	19.6713	65.9207%	1.1320%
PrimeNet	2⁶⁶	0.5907	62.1212%	110000	4000000	0.4000	4.9776%	0.9907	64.0067%	1.8855%
GPU72	2⁷⁰	9.5570	64.2857%	180000	5000000	0.5500	3.6603%	10.1069	65.5930%	1.3073%
Difference	+1	+9.5640	+0.5030%	+90000	-1557500	+0.0003	-0.4455%	+9.5643	+0.3277%	+0.3277%

Known prime factors (1 factor, 69.0 bits, 0.00027580% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
25002793	573499795815531626033	21	68.958	11468714631512 2³ × 29 × 53 × 932719147	2011-12-19	53	932719147	3.3321	63.144	117.94

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-07-26T00:00:00	ANONYMOUS	v4_computers	270000	3442500		-		-	-	0.550	-	-	3.215%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-12-19T13:09:00	Carsten Kossendey	Manual testing	?	?	573499795815531626033	68.958	21	0.948	43.65	1.932
2001-08-12T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-08-24T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2001-12-01T00:00:00	Matt	v4_computers	2¹	2⁵⁹		-	-	0.003	-	-
2001-12-01T00:00:00	Matt	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2004-03-26T00:00:00	korva	v4_computers	2¹	2⁶⁷		-	-	1.188	-	-
2011-12-12T12:09:00	David Campeau	Manual testing	2⁶⁷	2⁶⁸		-	-	1.196	-	-
2011-12-19T13:08:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁷¹	MISSED FACTOR!	-	-	16.74	-	-

ECM factoring results:
No ECM results for M25002793

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2004-10-03T00:00:00	ANONYMOUS	v4_computers	2823B3DBA7185244	21.43

PRP results:
No PRP results for M25002793

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 270000, B2 = 3442500 (P-1 stage 2)

B1 = 270000 (P-1 stage 1)

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TF factor-bounds graph:

2⁷¹

2⁶⁸

2⁶⁷

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2⁵⁹

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2¹⁰⁰

Last modified: 2011-12-19T13:09:00+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront